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math.DS2026
Effective Intrinsic Ergodicity for renewal-type potentials on S-gap shifts
Farhod Haydarov, Shirali Kadyrov, Mirmukhsin Makhmudov +1
We establish effective intrinsic ergodicity for renewal-type potentials on one-sided \(S\)-gap shifts. Inducing on the one-symbol cylinder \([1]\) reduces the system to a full shif…
math.DS2026
Limit-Cycle Replication via Chebyshev Pullbacks and a Quadratic Ceiling for Separable Schemes
Olimjon Eshkobilov, Shirali Kadyrov, Khudoyor Mamayusupov
Let \(H(n)\) denote the Hilbert number, i.e.\ the maximal number of limit cycles of planar polynomial vector fields of degree \(\le n\). A classical lower-bound mechanism for \(H(n…